Join the Joint

Can you solve the below algebraic mathematical equation?

(J+O+I+N+T)3 = JOINT




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The host of a game show, offers the guest a choice of three doors. Behind one is a expensive car, but behind the other two are goats.
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You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter?

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* *
x *
=====
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Who am I?

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It has five wheels, though often think four, You cannot use it without that one more, You can put things in it, you can strap things on top, You can't find it in the market, but you can still go shop. What is it?

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.